Advances in Mechanics of Solids : In Memory of Prof E M Haseganu.
Title:
Advances in Mechanics of Solids : In Memory of Prof E M Haseganu.
Author:
Guran, Ardéshir.
ISBN:
9789812773166
Personal Author:
Physical Description:
1 online resource (298 pages)
Series:
Series on Stability, Vibration and Control of Systems, Series B ; v.15
Series on Stability, Vibration and Control of Systems, Series B
Contents:
CONTENTS -- Preface -- I. Vibrations and Stability of Thin Structures -- 1 ELIZA HASEGANU'S ANALYSIS OF WRINKLING IN PRESSURIZED MEMBRANES -- 1.1 Introduction -- 1.2 Relaxed Membrane Theory -- 1.3 Numerical Scheme -- 1.4 Examples -- References -- 2 BUCKLING, VIBRATIONS AND OPTIMAL DESIGN OF RING-STIFFENED THIN CYLINDRICAL SHELLS -- 2.1 Introduction -- 2.2 Equations of Cylindrical Shells -- 2.3 Approximate Equations -- 2.4 Ring-stiffened Shell -- 2.5 First Approximation -- 2.6 Shell Stiffened with a Ring -- 2.7 Optimal Rings Arrangement -- 2.8 Homogenization -- 2.9 Irregular Arrangement -- 2.10 Effective Stiffness -- 2.11 Optimal Design of Vibrating Stiffened Shells -- 2.12 Optimal Design of Buckling Shells -- 2.13 Conclusion -- References -- 3 ASYMPTOTIC ANALYSIS OF THIN SHELL BUKLING -- 3.1 Introduction -- 3.2 Bifurcation Equations -- 3.3 Orthotropic Ellipsoid Under External Pressure -- 3.4 Orthotropic Elliptical Shell Under Internal Pressure -- 3.5 Buckling of Cylindrical Shells -- 3.6 Buckling of Orthotropic Cylindrical Shell Under Hydrostatic Pressure -- 3.7 Buckling of Axially Compressed Orthotropic Cylindrical Shell -- 3.8 Buckling of an Orthotropic Cylindrical Shell Under Torsion -- 3.9 Effect of Anisotropy on the Critical Loading -- References -- 4 THIN-WALL STRUCTURES MADE OF MATERIALS WITH VARIABLE ELASTIC MODULI -- 4.1 Introduction -- 4.2 Relations Between the Curvature of the Beam Neutral Line and the Bending Moment -- 4.3 Stiffness of a Beam Made of Variable Modulus Material -- 4.4 Fiber-reinforced Shell -- 4.5 Strains and Stresses in a Shell Made of Composite Material -- 4.6 The Threshold Constant ε0 -- 4.7 Elasticity Relations for a Shell Made of a Composite Material -- 4.8 Cylindrical Shell Under Internal Pressure -- References.
5 ASYMPTOTIC INTEGRATION OF FREE VIBRATION EQUATIONS OF CYLINDRICAL SHELLS BY SYMBOLIC COMPUTATION -- 5.1 Introduction -- 5.2 Problem Formulation -- 5.3 Formal Asymptotic Solutions of the Equations of Cylindrical Shells -- 5.4 Axisymmetric Vibrations -- 5.5 Boundary Value Problem -- 5.6 Nonaxisymmetric Vibrations -- 5.7 Symbolic Computation -- References -- II. Vibrations and Stability in Continuum Mechanics -- 6 THE MECHANICS OF PRE-STRESSED AND PRE-POLARIZED PIEZOELECTRIC CRYSTALS -- 6.1 Introduction -- 6.2 Background -- 6.3 General Theory of Piezoelectricity with Initial Fields -- 6.4 Special Case of Antiplane Deformation -- 6.5 Stability Considerations -- 6.6 Transverse Electro-Acoustic Waves -- References -- 7 ON THE STABILITY OF TRANSIENT VISCOUS FLOW IN AN ANNULUS -- 7.1 Introduction -- 7.2 Mathematical Formulation of the Problem -- 7.3 Numerical Results -- 7.4 Conclusion -- References -- III. Biomechanics -- 8 MECHANICAL MODELS OF THE DEVELOPMENT OF GLAUCOMA -- 8.1 Introduction -- 8.2 Deformations of LC. Linear Theory -- 8.3 Shear of the Layers -- 8.4 Buckling of the LC -- 8.5 Conclusion -- References -- 9 A MICROMECHANICAL MODEL FOR PREDICTING MICROCRACKING INDUCED MATERIAL DEGRADATION IN HUMAN CORTICAL BONE TISSUE -- 9.1 Introduction -- 9.2 Experimental Materials and Methods -- 9.3 Prediction of Material Property Degradation by a Micromechanical Damage Model -- 9.4 Experimental Results -- 9.5 Results of the Micromechanical Damage Model -- 9.6 Comparison of Experimental Results to the Micromechanical Damage Model -- 9.7 Discussion -- References -- IV. Experimental and Computational Mechanics of Solids -- 10 AN EVOLUTION OF SOLID ELEMENTS FOR THERMAL-MECHANICAL FINITE ELEMENT ANALYSIS -- 10.1 Introduction -- 10.2 8- to 26-Node Linear Hexahedron.
10.3 A Nonconforming 8- to 26-Node Hexahedron -- 10.4 Nonconforming Elements in Thermal-Mechanical Analysis -- 10.5 8- to 16-Node Solid Shell -- 10.6 Solid Shell Elements in Thermal-Mechanical Analysis -- 10.7 Contributions -- References -- Nomenclature -- 11 QUANTIZATION EFFECTS IN SHALLOW POWDER BED VIBRATIONS -- 11.1 Introduction -- 11.2 Review and Discussion of Prior Works -- 11.3 Periodic Response with Soft Landing -- 11.4 Low Velocity Impact Model -- 11.5 Quantization Effects -- 11.6 Conclusion -- References -- About the Authors -- Index.
Abstract:
The contributions in this volume are written by well-known specialists in the fields of mechanics, materials modeling and analysis. They comprehensively address the core issues and present the latest developments in these and related areas. In particular, the book demonstrates the breadth of current research activity in continuum mechanics. A variety of theoretical, computational, and experimental approaches are reported, covering finite elasticity, vibration and stability, and mechanical modeling. The coverage reflects the extent and impact of the research pursued by Professor Haseganu and her international colleagues. Sample Chapter(s). Chapter 1: Eliza Haseganu's Analysis of Wrinkling in Pressurized Membranes (318 KB). Contents: Vibrations and Stability of Thin Structures: Eliza Haseganu's Analysis of Wrinkling in Pressurized Membranes (D J Steigmann); Buckling, Vibrations and Optimal Design of Ring-Stiffened Thin Cylindrical Shells (S B Filippov); Asymptotic Analysis of Thin Shell Buckling (A L Smirnov); Thin-Wall Structures Made of Materials with Variable Elastic Moduli (A L Smirnov & P E Tovstik); Asymptotic Integration of Free Vibration Equations of Cylindrical Shells by Symbolic Computation (E M Haseganu et al.); Vibrations and Stability in Continuum Mechanics: The Mechanics of Pre-Stressed and Pre-Polarized Piezoelectric Crystals (E Baesu); On the Stability of Transient Viscous Flow in an Annulus (A A Kolyshkin et al.); Biomechanics: Mechanical Models of the Development of Glaucoma (S M Bauer); A Micromechanical Model for Predicting Microcracking Induced Material Degradation in Human Cortical Bone Tissue (O Akkus et al.); Experimental and Computational Mechanics of Solids: An Evolution of Solid Elements for Thermal-Mechanical Finite Element Analysis (J Moyra & J McDill); Quantization Effects in Shallow Powder Bed Vibrations (J Pegna & J
Zhu). Readership: Researchers in mechanical engineering, civil engineering, bioengineering, applied mathematics and numerical mathematics.
Local Note:
Electronic reproduction. Ann Arbor, Michigan : ProQuest Ebook Central, 2017. Available via World Wide Web. Access may be limited to ProQuest Ebook Central affiliated libraries.
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